3-uniform hypergraphs: modular decomposition and realization by tournaments

Abderrahim Boussaïri, Brahim Chergui, Pierre Ille +1

Let $H$ be a 3-uniform hypergraph. A tournament $T$ defined on $V(T)=V(H)$ is a realization of $H$ if the edges of $H$ are exactly the 3-element subsets of $V(T)$ that induce 3-cyc…